Abstract: A package is provided for an integrated circuit comprising a dielectric body enclosing the integrated circuit chip having a plurality of conductive terminal members extend through the dielectric body. The dielectric body includes a magnetic shielding layer for shielding electromagnetic radiation from the integrated circuit. The magnetic shielding layer comprises a material having a high magnetic permeability and a high resistivity, so that the dielectric body absorbs electromagnetic radiation at frequencies generated by the integrated circuit and thereby attenuates electromagnetic emissions from the integrated circuit. Suitable materials having a high dielectric constant and high magnetic permeability include ferrites. Conveniently a shielding layer of ferrimagnetic material comprising a ferrite plate may be applied to surfaces of a conventional plastic or ceramic packaging material.